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Finding the Fourth Proportional to 10,243.84, 14,137.20 and 5,768

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Solution

The fourth proportional to 10,243.84, 14,137.20 and 5,768 is: 7,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.84 : 14,137.20 = 5,768 : x
  2. Step 2: Convert to fraction form
    10,243.84/14,137.20 = 5,768/x
  3. Step 3: Cross multiply
    10,243.84x = 14,137.20 × 5,768
  4. Step 4: Simplify right side
    10,243.84x = 81,543,369.60
  5. Step 5: Solve for x
    x = 81,543,369.60/10,243.84
  6. Step 6: Final answer
    x = 7,960.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.